473931…: “Rather than a windy water”

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Worked Out Examples Problem Videos

The following video may be helpful when trying to solve this example. Note that you may skip to the end of the video to get completion credit for this page if you don’t need to watch it.

Practice Problems: Implicit Differentiation

1 : Suppose that we have the following implicitly defined function, where $y$ is a function of $x$ : $\sage {p1fL} = \sage {p1fR}$

Compute $\frac {dy}{dx}$ explicitly using implicit differentiation. $\frac {dy}{dx} = \answer {\sage {p1ans}}$

Remember you want to take the derivative using implicit differentiation, then solve for the $\frac {dy}{dx}$ terms that appear as a consequence of the chain rule applied to $y$ .